Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 566/27,175/2986
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 566,175
Greatest Common Factor of Numerators i.e. GCF of 566,175 is 1 .
LCM of Denominators means LCM of 27,2986 as per the given fractions.
LCM of 27,2986 is 80622 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 566,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 566,175 . The biggest common factor number is the GCF number.
So the greatest common factor 566,175 is 1.
Lets's calculate LCM of 27,2986
Given numbers has no common factors except 1. So, there LCM is their product i.e 80622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80622
Therefore, the GCF of Fractions 566/27,175/2986 is 1/80622
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 27,2986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,2986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,2986) x common factors =1 x 1 = 1
LCM(27,2986) = ( 27 × 2986 ) / 1
LCM(27,2986) = 80622 / 1
LCM(27,2986) = 80622
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 566/27, 175/2986?
Answer: GCF of Numerators as per given numbers 566/27, 175/2986 is
GCF of Numerators i.e. for 566,175 is 1
LCM of denominators i.e. for 27,2986 is 80622.
Thus, GCF of Fractions is 1/80622.Finally, GCF of Fractions for 566/27, 175/2986 is 1/80622.